A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Geometric modeling
The Wilson-Fowler spline is a v-spline
Computer Aided Geometric Design
Interpolation with interval and point tension controls using cubic weighted v-splines
ACM Transactions on Mathematical Software (TOMS)
Weighted bicubic spline interpolation to rapidly varying data
ACM Transactions on Graphics (TOG)
Generating the Be´zier points of a &bgr;-spline curve
Computer Aided Geometric Design
A rational cubic spline with tension
Computer Aided Geometric Design
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
IEEE Computer Graphics and Applications
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A curve design method has been proposed which, in addition to enjoying the good features of cubic splines, possesses interested shape design features too. Two families of shape parameters have been introduced in such a way that one family of parameters is associated with intervals and the other with points. These parameters provide a variety of shape controls like point and interval tension. This is an interpolatory curve scheme, which utilizes a piece-wise rational cubic function in its description. The proposed method enjoy ideal geometric properties and geometric continuity of order two is also achieved.